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Finding the Fourth Proportional to 1,885.90, 2,828.22 and 653.32

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Solution

The fourth proportional to 1,885.90, 2,828.22 and 653.32 is: 979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.90 : 2,828.22 = 653.32 : x
  2. Step 2: Convert to fraction form
    1,885.90/2,828.22 = 653.32/x
  3. Step 3: Cross multiply
    1,885.90x = 2,828.22 × 653.32
  4. Step 4: Simplify right side
    1,885.90x = 1,847,732.69
  5. Step 5: Solve for x
    x = 1,847,732.69/1,885.90
  6. Step 6: Final answer
    x = 979.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.